Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x5−x6−x2
Evaluate
(x4−x3×x2−x×1)(x×1)
Remove the parentheses
(x4−x3×x2−x×1)x×1
Multiply the terms
More Steps
Evaluate
x3×x2
Use the product rule an×am=an+m to simplify the expression
x3+2
Add the numbers
x5
(x4−x5−x×1)x×1
Any expression multiplied by 1 remains the same
(x4−x5−x)x×1
Rewrite the expression
(x4−x5−x)x
Multiply the terms
x(x4−x5−x)
Apply the distributive property
x×x4−x×x5−x×x
Multiply the terms
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Evaluate
x×x4
Use the product rule an×am=an+m to simplify the expression
x1+4
Add the numbers
x5
x5−x×x5−x×x
Multiply the terms
More Steps
Evaluate
x×x5
Use the product rule an×am=an+m to simplify the expression
x1+5
Add the numbers
x6
x5−x6−x×x
Solution
x5−x6−x2
Show Solution
Factor the expression
x2(x3−x4−1)
Evaluate
(x4−x3×x2−x×1)(x×1)
Remove the parentheses
(x4−x3×x2−x×1)x×1
Multiply the terms
More Steps
Evaluate
x3×x2
Use the product rule an×am=an+m to simplify the expression
x3+2
Add the numbers
x5
(x4−x5−x×1)x×1
Any expression multiplied by 1 remains the same
(x4−x5−x)x×1
Any expression multiplied by 1 remains the same
(x4−x5−x)x
Multiply the terms
x(x4−x5−x)
Factor the expression
More Steps
Evaluate
x4−x5−x
Rewrite the expression
x×x3−x×x4−x
Factor out x from the expression
x(x3−x4−1)
x×x(x3−x4−1)
Solution
x2(x3−x4−1)
Show Solution
Find the roots
x=0
Evaluate
(x4−x3×x2−x×1)(x×1)
To find the roots of the expression,set the expression equal to 0
(x4−x3×x2−x×1)(x×1)=0
Multiply the terms
More Steps
Evaluate
x3×x2
Use the product rule an×am=an+m to simplify the expression
x3+2
Add the numbers
x5
(x4−x5−x×1)(x×1)=0
Any expression multiplied by 1 remains the same
(x4−x5−x)(x×1)=0
Any expression multiplied by 1 remains the same
(x4−x5−x)x=0
Multiply the terms
x(x4−x5−x)=0
Separate the equation into 2 possible cases
x=0x4−x5−x=0
Solve the equation
More Steps
Evaluate
x4−x5−x=0
Factor the expression
x(x3−x4−1)=0
Separate the equation into 2 possible cases
x=0x3−x4−1=0
Solve the equation
x=0x∈/R
Find the union
x=0
x=0x=0
Solution
x=0
Show Solution